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Finding the Third Proportional to 7,986,842.25 and 11,421,277.63

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Solution

The third proportional to 7,986,842.25 and 11,421,277.63 is: 16,332,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986,842.25 : 11,421,277.63 = 11,421,277.63 : x
  2. Step 2: Convert to fraction form
    7,986,842.25/11,421,277.63 = 11,421,277.63/x
  3. Step 3: Cross multiply
    7,986,842.25x = 11,421,277.63 × 11,421,277.63
  4. Step 4: Simplify right side
    7,986,842.25x = 130,445,582,587,325.64
  5. Step 5: Solve for x
    x = 130,445,582,587,325.64/7,986,842.25
  6. Step 6: Final answer
    x = 16,332,560.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.